Least Common Multiple of 515 and 523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 515 and 523 the smallest integer that is 269345 that is divisible by both numbers.

Least Common Multiple (LCM) of 515 and 523 is 269345.

LCM(515,523) = 269345

LCM of 515 and 523

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 515 and 523

LCM of 515 and 523 is 269345

Least common multiple can be found by multiplying the highest exponent prime factors of 515 and 523. First we will calculate the prime factors of 515 and 523.

Prime Factorization of 515


5 515
103 103
1

Prime factors of 515 are 5,103. Prime factorization of 515 in exponential form is:

515 = 51×1031

Prime Factorization of 523


523 523
1

Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:

523 = 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 515 and 523.

LCM(515,523) = 51×1031×5231
LCM(515,523) = 269345

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1, 523

Least Common Multiple of 515 and 523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 515 and 523, than apply into the LCM equation.

GCF(515,523) = 1
LCM(515,523) = ( 515 × 523) / 1
LCM(515,523) = 269345 / 1
LCM(515,523) = 269345

Properties of LCM 515 and 523

(i) The LCM of 523 and 515 is associative

LCM of 515 and 523 = LCM of 523 and 515

Related Least Common Multiples of 515

Related Least Common Multiples of 523

Frequently Asked Questions on LCM of 515 and 523

1. What is the LCM of 515 and 523?

Answer: LCM of 515 and 523 is 269345.

2. What are the Factors of 515?

Answer: Factors of 515 are 1, 5, 103, 515. There are 4 integers that are factors of 515. The greatest factor of 515 is 515.

3. What are the Factors of 523?

Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.

4. How to Find the LCM of 515 and 523?

Answer:

Least Common Multiple of 515 and 523 = 269345

Step 1: Find the prime factorization of 515

515 = 5 x 103

Step 2: Find the prime factorization of 523

523 = 523

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 269345 = 5 x 103 x 523

Step 4: Therefore, the least common multiple of 515 and 523 is 269345.